On the asymptotic dimension of the dual group of a locally compact abelian group

被引：4
作者：
Nicas, Andrew [1 ]
Rosenthal, David [2 ]
机构：
[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
[2] St Johns Univ, Dept Math & Comp Sci, Jamaica, NY 11439 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Asymptotic dimension; Covering dimension; Topological group; Dual group;
D O I：
10.1016/j.topol.2013.01.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the covering dimension of a locally compact abelian group coincides with the asymptotic dimension of its Pontryagin dual. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：682 / 684
页数：3
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